OPERATOR ALGEBRA AND DETERMINATION OF CRITICAL INDICES

被引：180

作者：

KADANOFF, LP

机构：

[1] Department of Physics, Brown University, Providence

来源：

PHYSICAL REVIEW LETTERS | 1969年 / 23卷 / 25期

关键词：

D O I：

10.1103/PhysRevLett.23.1430

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The reduction hypothesis" proposes that a product of nearby fluctuating local variables can be replaced by a linear combination of individual local variables. The linear combinations thereby produced are a kind of algebra of the reduction of products. A particular algebra is proposed for the two-dimensional Ising model. It is shown that a knowledge of which coefficients in the algebra are nonvanishing is sufficient to determine all critical indices. © 1969 The American Physical Society."

引用

页码：1430 / &

共 19 条

[1] SCALING FORM OF SPIN-SPIN CORRELATION FUNCTION OF 3-DIMENSIONAL ISING FERROMAGNET ABOVE CURIE TEMPERATURE [J].

FERER, M ;

MOORE, MA ;

WORTIS, M .

PHYSICAL REVIEW LETTERS, 1969, 22 (25) :1382-&

[2] THEORY OF CRITICAL-POINT SCATTERING AND CORRELATIONS .I. ISING MODEL [J].

FISHER, ME ;

BURFORD, FJ .

PHYSICAL REVIEW, 1967, 156 (02) :583-&

[3]

GREEN M, 1968, P INT C STATISTICAL

[4] CORRELATION FUNCTIONS FOR 2-DIMENSIONAL ISING MODEL [J].

HECHT, R .

PHYSICAL REVIEW, 1967, 158 (02) :557-&

[5]

HECHT R, 1966, THESIS U ILLINOIS

[6]

Kadanoff L.P., 1966, PHYSICS, V2, P263, DOI [DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.2.263, 10.1103/PhysicsPhysiqueFizika.2.263]

[7] SPIN-SPIN CORRELATIONS IN 2-DIMENSIONAL ISING MODEL [J].

KADANOFF, LP .

NUOVO CIMENTO B, 1966, 44 (02) :276-&

[8] STATIC PHENOMENA NEAR CRITICAL POINTS - THEORY AND EXPERIMENT [J].

KADANOFF, LP ;

GOTZE, W ;

HAMBLEN, D ;

HECHT, R ;

LEWIS, EAS ;

PALCIAUS.VV ;

RAYL, M ;

SWIFT, J ;

ASPNES, D ;

KANE, J .

REVIEWS OF MODERN PHYSICS, 1967, 39 (02) :395-+

[9]

KADANOFF LP, TO BE PUBLISHED

[10] CRYSTAL STATISTICS .2. PARTITION FUNCTION EVALUATED BY SPINOR ANALYSIS [J].

KAUFMAN, B .

PHYSICAL REVIEW, 1949, 76 (08) :1232-1243

← 1 2 →